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Finding the Fourth Proportional to 410,339, 615,588.30 and 157,601

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Solution

The fourth proportional to 410,339, 615,588.30 and 157,601 is: 236,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,339 : 615,588.30 = 157,601 : x
  2. Step 2: Convert to fraction form
    410,339/615,588.30 = 157,601/x
  3. Step 3: Cross multiply
    410,339x = 615,588.30 × 157,601
  4. Step 4: Simplify right side
    410,339x = 97,017,331,668.30
  5. Step 5: Solve for x
    x = 97,017,331,668.30/410,339
  6. Step 6: Final answer
    x = 236,432.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.